Each flight has a probability of 60% or 0.6 of being on time. This means that its complement, or the probability that the flight isn't on time is:
It is 40% or 0.4. "~P(on time)" stands for the probability of the flight not being on time.
1. The probability that at least 2 flights are on time is:
To find the probability that 2 or more flights are on time we can fight the probability that "0" or "1" are not on time.
The probability of 2 or more flights are on time is:
The probability of 2 flights or more are on time is 0.996198912
2.
We need to calculate the probabilities of 7,8 and 9 flights are on time and then subtract by 1.
The probability of at most 6 flights are on time is:
The probability of 6 or less are on time is 0.768212992.
3.
The probability of exactly 5 flights are on time is:
The probability of exactly 5 flights are on time is 0.250822656.